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प्रश्न
The pair of equations λx + 3y = 7, 2x + 6y = 14 will have infinitely many solutions for λ = ______.
रिकाम्या जागा भरा
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उत्तर
The pair of equations λx + 3y = 7, 2x + 6y = 14 will have infinitely many solutions for λ = 1.
Explanation:
For infinitely many solutions the two equations must be proportional.
So (λ, 3, 7) must be proportional to (2, 6, 14).
Thus `λ/2 = 3/6 = 7/14 = 1/2`, giving λ = 1.
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